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LuckyWell [14K]
3 years ago
7

When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabol

a has its vertex at
Mathematics
2 answers:
never [62]3 years ago
8 0
(-2 - 3 , - 3 + 2) = (-5 , -1)

have fun :)))))))))
amid [387]3 years ago
4 0
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span> 

y = 2x<span> 2</span><span> + 8 x + 5 </span>

Complete square and determine vertex. 

y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>

= 2(x + 2)<span> 2</span><span> - 3 </span>

<span>vertex at (- 2 , - 3) </span>

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up . 

<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
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